Notes on GIT-fans for quivers

Abstract

These are notes on the construction of the GIT-fans for quivers without oriented cycles. We follow closely the steps outlined by N. Ressayre in "The GIT-Equivalence for G-Line Bundles" (Geometriae Dedicata, Volume 81, Numbers 1-3, 2000). A simple construction of the GIT-fan for normal, affine G-varities has been recently given by Ivan V. Arzhantsev and Juergen Hausen in "Geometric Invariant Theory via Cox Rings"

References in corpus (2)

• Quotients of affine spaces for actions of reductive groups
• Geometric Invariant Theory via Cox Rings

Cited by in corpus (4)

• Orbit semigroups and the representation type of quivers
• Moduli of parabolic sheaves and filtered Kronecker modules
• Geometric characterizations of the representation type of hereditary algebras and of canonical algebras
• A quiver invariant theoretic approach to Radial Isotropy and Paulsen's Problem for matrix frames